On improving the accuracy of nonhomogeneous shear modulus identification in incompressible elasticity using the virtual fields method

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:178

Article

Mei, Yue^1,2,3  Avril, Stephane³ 

[1] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dept Engn Mech, Dalian 116023, Peoples R China

[2] Dalian Univ Technol, Int Res Ctr Computat Mech, Dalian, Peoples R China

[3] Univ Jean Monnet, Univ Lyon, Mines St Etienne, INSERM,Ctr CIS,U1059 Sainbiose, St Etienne, France

关键词: Identification of nonhomogeneous shear modulus distribution;    Virtual fields methods;    Incompressible elasticity;    Virtual fields;    Inverse problem;   

DOI  :  10.1016/j.ijsolstr.2019.06.025

来源: Elsevier

【 摘 要 】

This paper discusses an important issue about the virtual fields method when it is used to identify non homogeneous shear moduli of nearly incompressible solids. From simulated examples, we observed that conventional virtual fields, which assign null displacements on the entire boundary, do not perform well on nonhomogeneous and nearly incompressible solids. Thus, these conventional virtual fields should not be used for such materials. We propose two novel types of virtual fields derived from either finite element analyses performed on the same domain with homogeneous properties or computing the curl of a potential vector field. From a variety of simulated and experimental examples, we observe that the proposed virtual fields significantly improve the accuracy of the estimated shear moduli of nonhomogeneous and nearly incompressible solids. Furthermore, the sensitivity to noise of the proposed approach is moderate and the approach can handle cases with unknown boundary conditions. Therefore, based on this careful and thorough analysis, it is concluded that the proposed approaches are a significant improvement of the VFM to identify nonhomogeneous shear moduli in nearly incompressible solids. (C) 2019 Elsevier Ltd. All rights reserved.

【 授权许可】

Free